This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A366102 #9 Sep 29 2023 10:04:59 %S A366102 1,0,0,0,-1,1,-1,1,4,-10,17,-25,-1,76,-217,443,-490,-94,1999,-6208, %T A366102 11527,-12350,-4471,63826,-184055,332713,-342399,-231390,2101215, %U A366102 -5790892,10230983,-9625472,-10237792,71714387,-190381165,324440310,-275119412,-430340403 %N A366102 Expansion of (1/x) * Series_Reversion( x*(1+x+x^4)/(1+x) ). %F A366102 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} (-1)^(n-k) * binomial(n+k,k) * binomial(n-3*k-1,n-4*k). %o A366102 (PARI) a(n) = sum(k=0, n\4, (-1)^(n-k)*binomial(n+k, k)*binomial(n-3*k-1, n-4*k))/(n+1); %Y A366102 Cf. A366071, A366101. %K A366102 sign %O A366102 0,9 %A A366102 _Seiichi Manyama_, Sep 29 2023